Highest Common Factor of 906, 7925, 9454 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 906, 7925, 9454 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 906, 7925, 9454 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 906, 7925, 9454 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 906, 7925, 9454 is 1.

HCF(906, 7925, 9454) = 1

HCF of 906, 7925, 9454 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 906, 7925, 9454 is 1.

Highest Common Factor of 906,7925,9454 using Euclid's algorithm

Highest Common Factor of 906,7925,9454 is 1

Step 1: Since 7925 > 906, we apply the division lemma to 7925 and 906, to get

7925 = 906 x 8 + 677

Step 2: Since the reminder 906 ≠ 0, we apply division lemma to 677 and 906, to get

906 = 677 x 1 + 229

Step 3: We consider the new divisor 677 and the new remainder 229, and apply the division lemma to get

677 = 229 x 2 + 219

We consider the new divisor 229 and the new remainder 219,and apply the division lemma to get

229 = 219 x 1 + 10

We consider the new divisor 219 and the new remainder 10,and apply the division lemma to get

219 = 10 x 21 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 906 and 7925 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(219,10) = HCF(229,219) = HCF(677,229) = HCF(906,677) = HCF(7925,906) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 9454 > 1, we apply the division lemma to 9454 and 1, to get

9454 = 1 x 9454 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9454 is 1

Notice that 1 = HCF(9454,1) .

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Frequently Asked Questions on HCF of 906, 7925, 9454 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 906, 7925, 9454?

Answer: HCF of 906, 7925, 9454 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 906, 7925, 9454 using Euclid's Algorithm?

Answer: For arbitrary numbers 906, 7925, 9454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.